Denoising

We show that for any p, p1, and p2 > 0 satisfying 1/p = 1/p1 + 1/p2, there is an equivalence between the Schatten-p norm of one matrix and the Schatten-p1 and the Schatten-p2 norms of its two factor matrices

We study the problem of recovering a t-sparse vector ±x0 in R^n from m quadratic equations yi = (a^T_i x)^2 with noisy measurements y_i’s.